Alison has three times as many dimes as quarters in her purse. She has $\$9.35$ altogether. How many **dimes** does she have?
A$14$
B$17$
C$7$
D$51$
Answer & Solution
Correct answer: D. $51$
Let $q =$ quarters; dimes $= 3q$.
$0.25 q + 0.10 (3q) = 9.35 \Rightarrow 0.25 q + 0.30 q = 9.35 \Rightarrow 0.55 q = 9.35 \Rightarrow q = 17$.
Dimes $= 3q = 51$.
Check: $17(0.25) + 51(0.10) = 4.25 + 5.10 = \$9.35$ ✓.
- Trap C ($17$) is the quarter count.
- Trap B and A miss the multiplier.
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